No abstract

The requirement of manifest gauge invariance leads to a conflict between perturbative and nonperturbative predictions for the low-energy spectra of grand-unified theories. These conflicts already emerge in simplified prototype models of SU(3) gauge theories with Higgs fields in different representations. We expand earlier lattice investigations on this subject and provide further support for the predicted deviations. These can be understood in terms of the Fröhlich-Morchio-Strocchi mechanism.

Vector boson scattering (VBS) plays a central role in the search for new physics at collider experiments such as ATLAS and CMS at the LHC. Usually predictions for this kind of processes are obtained using perturbative approaches in fixed gauges. Here we present a fully gauge-invariant study of VBS in the scalar-channel involving a SM-like Higgs with finite extent. To this end, we combine results obtained in a reduced SM setup from (augmented) perturbation theory with those from non-perturbative lattice simulations.

Vector boson scattering (VBS) plays a central role in the search for new physics at collider experiments such as ATLAS and CMS at the LHC. Usually predictions for this kind of process are obtained using mainly perturbative approaches in fixed gauges. Here we present a fully gaugeinvariant study of VBS in the scalar-channel involving three different types of Higgs-like particles characterized by their mass; above (heavy), inside (resonance) or below (stable) the elastic region. To this end, we combine results obtained in a reduced SM setup from (augmented) perturbation theory with those from non-perturbative lattice simulations.